Chapter 5.II, Problem 16TIE

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8th Edition

Robert Brechner + 1 other

ISBN: 9781305585447

Textbook Problem

REI (Recreational Equipment Incorporated) sells a 35 -liter backpack for $110 and an 18-liter backpack for $70. If a store sold 40 packs yesterday for a total of $3, 400, how many of each type backpack were sold? What were the dollar sales of each type?

To determine

**To calculate:** The number of each backpack sold and the amount received from the sale of each backpack, if REI (Recreational equipment incorporated) charges

Explanation

**Given Information:**

REI (Recreational equipment incorporated) charges

**Formula used:**

To solve the equation and prove the solution, follow the steps as mentioned below.

Step

Step2: List the known and the unknows from the problem.

Step3: Write the equation with the help of following table of key word,

Equal Sign | Addition | Subtraction | Multiplication | Division | Parentheses |

Is | And | Less | of | Divide | Times the quantity of |

Are | Added to | Less than | Multiply | Divided by | |

Was | Totals | Smaller than | Times | Divided into | |

Equals | The sum of | Minus | Product of | Quotient of | |

Gives | Plus | Difference | Multiplied by | Ratio of | |

Giving | More than | Decreased by | Twice | ||

Leaves | Larger than | Reduced by | Double | ||

Results in | Increased by | Take away | Triple | ||

Produces | Greater than | Loss of | At | ||

yields | exceeds | Fewer than | @ |

Step4: Solve the equation by rearrange the unknown values to the left side and known values to the right side of the equal sign.

Step5: Prove the solution by substituting the value obtained from step 4 in the equation formed in step 4 then check the left and right of the equation if, they are equal then the answer is correct.

**Calculation:**

Underline the keyword by using the table of of key word.

The __sum__ of price of each item __multiply by__ its quantity __equals__ total price,

Suppose that *X* be the number of

Consider the total backpack sold,

So, the number of

Consider the charges for

Consider the amount received by store from the sale of

Now solve the equation

Solve the parenthesis and combine the unknowns on left side,

Arrange the known values to the right side and unknown to the left side by applying the opposite operation of addition, subtract

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